is the solution to (REF ) due to the Carleman quasi-reversibility method.
The number \(\epsilon \in (0, 1)\)  is called the regularization parameter.
The presence of the Carleman weight function \(e^{2\lambda b^{-\beta } r^{-\beta }({\bf x})}\)  is the key for us to establish the convergence result in this paper. The important role of this Carleman weight function suggests the name Carleman quasi-reversibility method.
The quasi-reversibility method without the presence of a Carleman weight function was first introduced in [1]}.
The convergence of the quasi-reversibility method as \(\epsilon \rightarrow 0\)  was proved in [2]}.
